100016106500 has 48 divisors (see below), whose sum is σ = 219533059200. Its totient is φ = 39805365600.

The previous prime is 100016106467. The next prime is 100016106539. The reversal of 100016106500 is 5601610001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403094 + ... + 602093.

It is an arithmetic number, because the mean of its divisors is an integer number (4573605400).

Almost surely, 2^100016106500 is an apocalyptic number.

100016106500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100016106500 is an abundant number, since it is smaller than the sum of its proper divisors (119516952700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100016106500 is a wasteful number, since it uses less digits than its factorization.

100016106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005405 (or 1005393 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 100016106500 its reverse (5601610001), we get a palindrome (105617716501).

The spelling of 100016106500 in words is "one hundred billion, sixteen million, one hundred six thousand, five hundred".